CN1938954A - Method for reducing intersymbol interference, sigma-delta converter for implementing the method and storage medium for transmitting information generated by the method - Google Patents
Method for reducing intersymbol interference, sigma-delta converter for implementing the method and storage medium for transmitting information generated by the method Download PDFInfo
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- H03M3/39—Structural details of delta-sigma modulators, e.g. incremental delta-sigma modulators
- H03M3/412—Structural details of delta-sigma modulators, e.g. incremental delta-sigma modulators characterised by the number of quantisers and their type and resolution
- H03M3/422—Structural details of delta-sigma modulators, e.g. incremental delta-sigma modulators characterised by the number of quantisers and their type and resolution having one quantiser only
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- H03M7/00—Conversion of a code where information is represented by a given sequence or number of digits to a code where the same, similar or subset of information is represented by a different sequence or number of digits
- H03M7/30—Compression; Expansion; Suppression of unnecessary data, e.g. redundancy reduction
- H03M7/3002—Conversion to or from differential modulation
- H03M7/3004—Digital delta-sigma modulation
- H03M7/3015—Structural details of digital delta-sigma modulators
- H03M7/302—Structural details of digital delta-sigma modulators characterised by the number of quantisers and their type and resolution
- H03M7/3024—Structural details of digital delta-sigma modulators characterised by the number of quantisers and their type and resolution having one quantiser only
- H03M7/3026—Structural details of digital delta-sigma modulators characterised by the number of quantisers and their type and resolution having one quantiser only the quantiser being a multiple bit one
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- H—ELECTRICITY
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- H03M7/00—Conversion of a code where information is represented by a given sequence or number of digits to a code where the same, similar or subset of information is represented by a different sequence or number of digits
- H03M7/30—Compression; Expansion; Suppression of unnecessary data, e.g. redundancy reduction
- H03M7/3002—Conversion to or from differential modulation
- H03M7/3004—Digital delta-sigma modulation
- H03M7/3015—Structural details of digital delta-sigma modulators
- H03M7/302—Structural details of digital delta-sigma modulators characterised by the number of quantisers and their type and resolution
- H03M7/3024—Structural details of digital delta-sigma modulators characterised by the number of quantisers and their type and resolution having one quantiser only
- H03M7/3028—Structural details of digital delta-sigma modulators characterised by the number of quantisers and their type and resolution having one quantiser only the quantiser being a single bit one
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Abstract
Description
本发明涉及一种减少符号间干扰的方法,该符号间干扰出现在1位数字信号流的数模转换中。The invention relates to a method for reducing the intersymbol interference which occurs during the digital-to-analog conversion of a 1-bit digital signal stream.
通过1位DA转换器。可以获得高度线度的数模转换,其中它不用于符号间干扰(ISI),符号间干扰的失真由DA转换器引起。当DA转换器实际的模拟输出不仅取决于实际的数字输入码,而且取决于前一个数字输入码时,会出现符号间干扰。该“记忆”效应的结果是,在数字输入码中不存在的分量出现在DA转换器的模拟输出中。via a 1-bit DA converter. A highly linear digital-to-analog conversion can be obtained, where it is not used for inter-symbol interference (ISI), the distortion of which is caused by the DA converter. Intersymbol interference occurs when the actual analog output of the DA converter depends not only on the actual digital input code, but also on the previous digital input code. As a result of this "memory" effect, components not present in the digital input code appear in the analog output of the DA converter.
符号间干扰例如可以由DA转换器切换参考(例如电流源)的寄生电容,以及运算放大器的DC偏移引起,其中切换参考提供至该运算放大器,结果是,每次DA转换器切换时,不可避免的有额外的电荷包转出到输出端。当数字信号是1位数字信号流时,在信号过零点和小于信号峰值期间,用于以模拟形式返回信号的DA转换器将切换多次。由于正弦波的一个周期具有两个过零点和两个峰值,那么额外的电荷包代表偶数(二)阶失真。Intersymbol interference can be caused, for example, by parasitic capacitances of the DA converter switching reference (e.g. current source), as well as by the DC offset of the operational amplifier to which the switching reference is provided, with the result that, each time the DA converter switches, no Avoid having extra charge packets dumped out to the output. When the digital signal is a 1-bit digital signal stream, the DA converter used to return the signal in analog form will switch multiple times between the signal zero crossing and less than the signal peak. Since one cycle of a sine wave has two zero crossings and two peaks, the extra charge packets represent even (second) order distortion.
在某些情况下,DA转换器加载它的参考,结果是,该参考自身包含偶数(二)阶分量。该DA参考的二阶信号乘以输入码,导致DA转换器的输出端出现奇数(三次)的谐波失真。In some cases, the DA converter loads its reference with the result that the reference itself contains even (second) order components. This DA-referenced second-order signal is multiplied by the input code, resulting in odd (third-order) harmonic distortion at the output of the DA converter.
现有技术中,用于减少符号间干扰的方法是在时钟周期的一部分打开DA参考,在时钟周期的另一部分关闭DA参考。那么,在每个时钟周期中都存在额外的电荷包,它们对DA转换器输出端的DC信号作出贡献。该方法的缺点是DA转换器的输出信号变小,以至于它必须被增大,以获得相同的输出电平,同时,切换消耗功率,以至于额外的切换意味着额外的功率损耗,并且,跟随在DA转换器后的电路必须能够处理“波纹起伏的”输入信号。同时,对于定时抖动的敏感性增加。In the prior art, a method for reducing inter-symbol interference is to turn on the DA reference in a part of the clock cycle, and turn off the DA reference in another part of the clock cycle. Then, in each clock cycle there are additional charge packets which contribute to the DC signal at the output of the DA converter. The disadvantage of this method is that the output signal of the DA converter becomes smaller, so that it has to be increased to obtain the same output level, at the same time, switching consumes power, so that additional switching means additional power loss, and, The circuitry following the DA converter must be able to handle "rippled" input signals. At the same time, the sensitivity to timing jitter increases.
本发明提供一种方法,没有表现出这些缺点,同时,根据本发明,提供减少符号间干扰的方法,其中所述的1位数字信号流的产生包括下述步骤:通过低通滤波器的希格码-德尔塔结构,将输入信号转换为所述的1位数字信号流,该低通滤波器的输出端连接至量化器的输入端,该量化器的输出端反馈至该低通滤波器的输入端,因此,该方法的特征在于,产生控制信号,该控制信号代表量化器输出端处1位数字信号流的边沿密度;将控制信号和所述1位数字信号流相乘;并将相乘的结果,连同低通滤波器的输出,一起施加于量化器的输入端。本发明提供一种方法,用于充分减少信号过零点期间,1位数字信号流的边沿,由此更均匀的分布边沿,这样就减少了符号间干扰的信号内容。注意到,在上述的现有技术的方法中,减少符号间干扰是在DA转换中,即在1位数字信号流产生之后完成,具有如前所述的所有缺点。相比之下,根据本发明,通过控制1位数字流自身的产生实现符号间干扰的减少。The present invention provides a method that does not exhibit these disadvantages, and at the same time, according to the present invention, provides a method for reducing intersymbol interference, wherein said generation of a 1-bit digital signal stream includes the following steps: trellis-delta structure, converting the input signal into said 1-bit digital signal stream, the output of the low-pass filter is connected to the input of the quantizer, and the output of the quantizer is fed back to the low-pass filter Therefore, the method is characterized in that generating a control signal representing the edge density of the 1-bit digital signal stream at the output of the quantizer; multiplying the control signal by said 1-bit digital signal stream; and The result of the multiplication, along with the output of the low-pass filter, is applied to the input of the quantizer. The present invention provides a method for substantially reducing the edges of a 1-bit digital signal stream during signal zero crossings, thereby more evenly distributing the edges, thus reducing the signal content of intersymbol interference. Note that in the prior art method described above, the reduction of ISI is done in the DA conversion, ie after the generation of the 1-bit digital signal stream, with all the disadvantages as mentioned above. In contrast, according to the present invention, the reduction of intersymbol interference is achieved by controlling the generation of the 1-bit digital stream itself.
US专利6351229示出了一种希格码-德尔塔转换器,其中在量化器的输入端增加了信号依赖型的伪随机序列。该方法目的是避免干扰音,否则由于转换器产生的比特序列的规则特性,将出现干扰音,该方法没有充分减少该序列中边沿的密度。US patent 6351229 shows a sigma-delta converter in which a signal-dependent pseudo-random sequence is added at the input of the quantizer. The purpose of this method is to avoid tones which would otherwise occur due to the regular nature of the bit sequence produced by the converter, and the method does not sufficiently reduce the density of edges in this sequence.
减少脉宽调制信号的边沿也是公知的,其中脉宽调制信号意用于D类功率放大器。因为在D类功率放大器中,每个边沿都耗散一定量的能量,所以保持尽可能小的边沿数量很重要。但是,该公知的方法将引起大的音频失真或需要复杂的数字电路。It is also known to reduce the edges of pulse width modulated signals intended for class D power amplifiers. Because in a Class D power amplifier, each edge dissipates a certain amount of energy, it is important to keep the number of edges as small as possible. However, this known method would cause large audio distortions or require complex digital circuits.
根据本发明的方法和配置产生充分小的音频失真和/或更容易实现。并且,根据本发明的方法和配置尤其适用于减少数字传送起始处,即信号模数转换期间的边沿。那么,这些减少了边沿的信号可以方便的以1位数字的形式记录在存储介质上。Methods and arrangements according to the invention result in substantially less audio distortion and/or are easier to implement. Also, the method and arrangement according to the invention are particularly suitable for reducing edges at the beginning of digital transfer, ie during analog-to-digital conversion of a signal. Then, these edge-reduced signals can be conveniently recorded on a storage medium in the form of 1-bit numbers.
本发明还提供了一种1位希格码-德尔塔转换器,用于将输入信号转换成1位数字信号流,所述转换器包括量化器,具有输入端和输出端;低通滤波器,它的输出端连接至量化器的输入端,输入端连接至量化器的输出端,由此组成了具有量化器的反馈配置;用于向反馈配置提供输入信号的装置,以及从量化器的输出端获得1位数字信号流的装置。该转换器的特征在于,连接至量化器输出端的边沿密度控制器,用于提供控制信号,该控制信号指示1位数字信号流的边沿密度;乘法器,用于将所述控制信号乘以量化器的1位数字信号流;以及用于向量化器的输入端施加乘法器输出的装置。The present invention also provides a 1-bit Sigma-Delta converter for converting an input signal into a 1-bit digital signal stream, said converter comprising a quantizer having an input and an output; a low-pass filter , whose output is connected to the input of the quantizer, and the input is connected to the output of the quantizer, thereby forming a feedback configuration with a quantizer; means for providing an input signal to the feedback configuration, and from the quantizer A device that obtains a 1-bit digital signal stream at its output. The converter is characterized by an edge density controller connected to the output of the quantizer for providing a control signal indicating the edge density of the 1-bit digital signal stream; a multiplier for multiplying said control signal by the quantized a 1-bit digital signal stream to the quantizer; and means for applying the output of the multiplier to the input of the quantizer.
根据本发明的1位希格码-德尔塔转换器的特征还在于,边沿密度控制器包括边沿抽取器(edge-extractor),其连接以接收量化器的1位数字信号流;以及第二低通滤波器,用于接收边沿抽取器的输出信号,并提供所述的控制信号。该第二低通滤波器抑制感兴趣的频带中的符号间干扰,并将该干扰整形到更高频,正如普通希格码-德尔塔调制器的低通滤波器抑制感兴趣频带中的量化噪声,并将该噪声整形到更高频一样。在希格码-德尔塔调制器的低通滤波器的情况下,如果第二低通滤波器的阶数更高,那么该第二低通滤波器将抑制更多的干扰。The 1-bit Sigma-Delta converter according to the present invention is also characterized in that the edge density controller includes an edge-extractor (edge-extractor) connected to receive the 1-bit digital signal stream of the quantizer; The pass filter is used to receive the output signal of the edge extractor and provide the control signal. This second low-pass filter suppresses inter-symbol interference in the frequency band of interest and shapes this interference to higher frequencies, just as the low-pass filter of an ordinary Sigma-delta modulator suppresses quantization in the frequency band of interest noise, and shaping that noise to higher frequencies. In the case of the low-pass filter of the sigma-delta modulator, the second low-pass filter will suppress more interference if the order of the second low-pass filter is higher.
根据本发明的1位希格码-德尔塔转换器的特征还在于,参考信号源连接至第二低通滤波器,用于为控制信号的电平提供参考。该参考信号允许控制可以实现的符号间干扰的减少。该参考信号可以是具有正值或负值的DC值。该参考信号也可以包含时间依赖型的分量。该参考信号可以被加到第二低通滤波器的输入端、或输出端、或输入端和输出端之间的某个地方。The 1-bit sigma-delta converter according to the invention is also characterized in that the source of the reference signal is connected to a second low-pass filter for providing a reference for the level of the control signal. This reference signal allows controlling the reduction of inter-symbol interference that can be achieved. The reference signal can be a DC value with a positive or negative value. The reference signal may also contain time-dependent components. The reference signal may be applied to the input, or output, or somewhere between the input and output of the second low pass filter.
根据本发明的1位希格码-德尔塔转换器的一种简单实现的特征在于,第二低通滤波器是积分器,且将参考信号以与边沿抽取器脉冲相反的极性施加于积分器的输入端。在该结构中,量化器的数字比特流中任意边沿都将引起控制信号的增长,任意边沿的缺失都将引起控制信号的下降。最终的结果是,边沿抽取器脉冲的幅值和参考信号的幅值之间的比值,确定了没有边沿的时钟周期和具有边沿的时钟周期之间的比值,且与转换器的输入信号是否处在峰值或过零无关。A simple implementation of the 1-bit Sigma-delta converter according to the invention is characterized in that the second low-pass filter is an integrator and that the reference signal is applied to the integrating input terminal of the device. In this structure, any edge in the digital bit stream of the quantizer will cause the control signal to increase, and the absence of any edge will cause the control signal to decrease. The net result is that the ratio between the amplitude of the edge extractor pulse and the amplitude of the reference signal determines the ratio between the clock period without an edge and the clock period with an edge, and is related to whether the input signal to the converter is in Doesn't matter at peak or zero crossing.
很明显,优选地,边沿抽取器抽取数字比特流的所有边沿。但是,抽取器也可以只抽取部分边沿,例如,只是上升沿或只是下降沿。那么,参考信号应当相应的调整。Obviously, preferably, the edge extractor extracts all edges of the digital bit stream. However, it is also possible for the decimator to decimate only part of the edges, eg only rising edges or only falling edges. Then, the reference signal should be adjusted accordingly.
如上所述,本发明的主要优势在于,在数字输出信号的时钟周期上,更均匀的分布边沿。这使得,在感兴趣的频带中,符号间的干扰大量减少。必须考虑的一方面是,由此引起的转换器的最大输入信号电平的固有的下降。由于在信号的极值时,数字信号上增加了边沿,所以最大输入信号电平相对于满标值下降。为了限制最大输入电平的下降,发明的转换器的设定,特别是上述参考信号的设定优选使得,包括边沿的时钟周期的平均数小于40%。但是,通常,现有技术中希格码-德尔塔转换器产生的1位数字信号在时钟周期的大约65%中都包括边沿,根据本发明产生的数字输出信号优选在时钟周期的大约20%中具有边沿。可以注意到,本发明也涉及存储介质,该存储介质具有至少一个以1位数字流形式存储在其上的信号轨道,并且该存储介质的特征在于,在所述信号轨道的1位数字流中包括边沿的时钟周期数,小于所述信号轨道的1位数字流的总时钟周期数的40%。在该应用中,术语“信号轨道”的意思是,至少一分钟持续时间的音频或视频信号。当从该存储介质中读取程序时,在1位数字流的数模转换期间出现的符号间干扰,充分小于来自现有技术存储介质的1位数字流数模转换期间出现的符号间干扰。As mentioned above, the main advantage of the present invention is a more even distribution of edges over the clock period of the digital output signal. This results in a substantial reduction in inter-symbol interference in the frequency band of interest. One aspect that has to be considered is the inherent drop in the maximum input signal level of the converter caused by this. Due to the addition of edges to the digital signal at the extremes of the signal, the maximum input signal level decreases relative to full scale. In order to limit the drop in the maximum input level, the setting of the inventive converter, in particular of the reference signal mentioned above, is preferably such that the average number of clock periods including edges is less than 40%. Typically, however, the 1-bit digital signal produced by prior art Sigma-delta converters includes edges in about 65% of the clock period, and the digital output signal produced according to the present invention preferably includes edges in about 20% of the clock period. has an edge. It may be noted that the invention also relates to a storage medium having at least one signal track stored thereon in the form of a 1-bit digital stream and which is characterized in that in the 1-bit digital stream of said signal track The number of clock cycles including edges is less than 40% of the total number of clock cycles of the 1-bit digital stream of the signal track. In this application, the term "signal track" means an audio or video signal of at least one minute duration. When the program is read from the storage medium, the intersymbol interference occurring during the digital-to-analog conversion of the 1-bit digital stream is substantially less than that occurring during the digital-to-analog conversion of the 1-bit digital stream from the prior art storage medium.
必须注意,1位数字流在写入存储介质之前可以经过编码步骤,以使信号更适应于写入过程。当读出存储介质的同时,并在信号的DA转换之前,进行相应的解码。在这种情况下,本发明的优势还在保持,这是由于不是存储介质中的边沿,而是施加于DA转换器的边沿,是符号间干扰的原因。并且,如果所述编码步骤用于压缩储存在存储介质上的信号,那么由于被压缩的信号中边沿的减少,也将改进压缩本身。It must be noted that the 1-bit digital stream may undergo an encoding step before being written to the storage medium to make the signal more suitable for the writing process. While reading the storage medium, and before the DA conversion of the signal, corresponding decoding is carried out. In this case, the advantages of the invention are maintained, since it is not the edges in the storage medium, but the edges applied to the DA converter, which are the cause of the inter-symbol interference. Also, if said encoding step is used to compress a signal stored on a storage medium, the compression itself will also be improved due to the reduction of edges in the compressed signal.
由于这样的信号的DA转换中只包含一个参考(电流源),所以1位数字信号具有最优线性化的优势。但是,1位数字信号的主要劣势在于,在信号的产生中包括大量的量化噪声。如果使用多位数字信号,那么量化噪声的量将充分最小化。多位数字信号的问题是,DA转换需要多个参考,以及这些参考之间的任何不相等都会导致模拟信号的非线性失真。Since only one reference (current source) is involved in the DA conversion of such signals, 1-bit digital signals have the advantage of optimal linearization. However, the main disadvantage of 1-bit digital signals is that a large amount of quantization noise is included in the generation of the signal. If a multi-bit digital signal is used, then the amount of quantization noise will be substantially minimized. The problem with multi-bit digital signals is that DA conversion requires multiple references, and any inequalities between these references cause non-linear distortion of the analog signal.
通过动态单元匹配,会大量减少非线性失真,该动态单元匹配是一种公知的算法,其在每个信号值的DA转换中使用多个参考中的每一个。从Norsworthy S.R.and Schreier R.and Temes G.C.Delta-SigmaConverters,Theory,Design and Simulation.IEEE Press,New York,1997pp260-264中可以获知,在该算法的实现中,可以使用多位希格码-德尔塔转换器,该转换器包括多个互连的1位希格码-德尔塔转换器,其中每个1位希格码-德尔塔转换器具有:反馈配置中的低通滤波器,且该反馈配置具有多个互连的量化器装置中的一个;用于向所述多个量化器装置提供输入信号的装置;以及从多个量化器装置的输出端获得多位数字信号的装置。根据本发明的另一方面,该多位希格码-德尔塔转换器的特征在于,多个量化器装置的每个输出端都连接至边沿检测器,用于提供控制信号,该控制信号指示所述输出端处的1位数字流的边沿;乘法器,用于将所述控制信号乘以所述输出端的1位数字流;以及用于将乘法结果施加于量化器装置的各个输入端的装置。Non-linear distortions are substantially reduced by dynamic unit matching, which is a well-known algorithm that uses each of multiple references in the DA conversion of each signal value. From Norsworthy S.R.and Schreier R.and Temes G.C.Delta-SigmaConverters, Theory, Design and Simulation.IEEE Press, New York, 1997pp260-264 It can be known that in the implementation of this algorithm, multi-bit Sigma-Delta can be used A converter comprising a plurality of interconnected 1-bit Sigma-delta converters, wherein each 1-bit Sigma-delta converter has: a low-pass filter in a feedback configuration, and the feedback A configuration having one of a plurality of interconnected quantizer means; means for providing an input signal to said plurality of quantizer means; and means for obtaining a multi-bit digital signal from an output of the plurality of quantizer means. According to another aspect of the invention, the multi-bit Sigma-delta converter is characterized in that each output of the plurality of quantizer means is connected to an edge detector for providing a control signal indicating an edge of the 1-bit digital stream at the output; a multiplier for multiplying the control signal by the 1-bit digital stream at the output; and means for applying the result of the multiplication to respective inputs of the quantizer means .
将参照附图,描述本发明。The present invention will be described with reference to the accompanying drawings.
这里示出:Shown here:
图1是根据本发明的1位希格码-德尔塔转换器;Fig. 1 is a 1-bit Sigma-delta converter according to the present invention;
图2是用于解释根据本发明的1位希格码-德尔塔转换器运行的图表;以及FIG. 2 is a diagram for explaining the operation of a 1-bit Sigma-Delta converter according to the present invention; and
图3是根据本发明的多位希格码-德尔塔转换器的示例。Figure 3 is an example of a multi-bit Sigma-delta converter according to the present invention.
图1的1位希格码-德尔塔转换器包括希格码-德尔塔调制器SD,该调制器具有模拟信号输入端I和数字信号输出端O。输入端I的模拟信号SI经由加法点P1施加于模拟低通滤波器F,滤波后的信号SF经由第二加法点P2施加于1位时钟控制量化器Q,在这种情况下,量化器可以是简单的时钟控制比较器的形式。每次在时钟脉冲期间,量化器的输入信号超过预定的参考电平(“零”)时,量化器产生+1脉冲,当该信号保持低于所述预定的电平时,量化器产生-1脉冲。量化器Q的1位数字输出脉冲So在DA转换器H中被转换成模拟脉冲,并在加法点P1处从模拟输入信号SI中被减去。该希格码-德尔塔配置的公知结果是,当输入信号SI是最大正值时,输出信号So中有多个+1脉冲,当输入信号是最大负值时,有多个-1脉冲,当输入信号在零点或零点附近时,在+1和-1脉冲之间交变。如果恰当的设计希格码-德尔塔调制器,量化器产生的量化噪声将在输入信号的频带和一半时钟频率之间形成频带。为了给量化噪声足够的空间,因此,时钟频率应当选择的足够高。The 1-bit Sigma-Delta converter of FIG. 1 comprises a Sigma-Delta modulator SD having an analog signal input I and a digital signal output O. The analog signal S I at the input I is applied to an analog low-pass filter F via an addition point P1 , and the filtered signal SF is applied to a 1-bit clocked quantizer Q via a second addition point P2 , in this case , the quantizer can be in the form of a simple clocked comparator. The quantizer generates a +1 pulse every time during a clock pulse the input signal to the quantizer exceeds a predetermined reference level ("zero"), and a -1 when the signal remains below said predetermined level pulse. The 1-bit digital output pulse So of the quantizer Q is converted into an analog pulse in the DA converter H and subtracted from the analog input signal S I at the addition point P1 . A well-known consequence of this Sigma-delta configuration is that there are multiple +1 pulses in the output signal So when the input signal S I is most positive and many -1 pulses when the input signal is most negative , alternates between +1 and -1 pulses when the input signal is at or near zero. If the Sigma-delta modulator is properly designed, the quantization noise generated by the quantizer will form a frequency band between the frequency band of the input signal and half the clock frequency. In order to give enough room to the quantization noise, therefore, the clock frequency should be chosen high enough.
特别地,在输入信号过零期间,输出信号SO中大量的边沿,不仅在希格码-德尔塔调制器M的反馈路径的DA转换器H中,而且在任何的必须将数字输出信号So变换回模拟信号形式的DA转换器中,都是严重的符号间干扰源。为了减少大量的边沿,特别是在输入信号的过零期间,图1的配置包括边沿抽取器E,它的输入端接收希格码-德尔塔调制器的输出信号So。在一个时钟周期中,边沿抽取器产生信号SE,当在前一时钟周期中信号So变化时,信号SE为“高”,当在前一时钟周期中该信号没有变化时,信号SE为“低”。边沿抽取器E可以例如包括具有两个输入端的XOR门,其中一个输入端直接接收信号So,另一个输入端经由时钟控制D触发器接收信号So。信号SE接着施加于加法点P3,其中信号SE可以看作是模拟信号,例如“高”=1伏,“低”=0伏,在加法点P3,从信号SE中减去参考电压VP,例如0.2伏。当在前一时钟周期中已经出现边沿时,那么SE-VP的减法结果是0.8伏,当在该周期中没有出现边沿时,那么SE-VP的减法结果是-0.2伏。或者,换言之,当在时钟周期的20%中出现边沿,那么信号SE-VP的平均值将是零,当在高于时钟周期的20%中出现边沿时,那么平均值为正,当在低于时钟周期的20%中出现边沿时,那么平均值为负。In particular, a large number of edges in the output signal SO during zero crossings of the input signal, not only in the DA converter H of the feedback path of the Sigma-delta modulator M, but also in any digital output signal So In the DA converter that converts back to analog signal form, both are serious sources of intersymbol interference. In order to reduce the large number of edges, especially during the zero crossings of the input signal, the arrangement of Fig. 1 comprises an edge decimator E whose input receives the output signal So of the Sigma-delta modulator. In one clock cycle, the edge extractor generates the signal S E , when the signal So changes in the previous clock cycle, the signal S E is "high", and when the signal does not change in the previous clock cycle, the signal S E to "Low". The edge extractor E may for example comprise an XOR gate with two inputs, one of which receives the signal So directly and the other input receives the signal So via a clocked D flip-flop. The signal S E is then applied to the summing point P 3 , wherein the signal S E can be regarded as an analog signal, for example "high" = 1 volt, "low" = 0 volts, at the summing point P 3 , subtracted from the signal S E The reference voltage VP is, for example, 0.2 volts. When an edge has occurred in the previous clock cycle, then the result of the subtraction of SE -VP is 0.8 volts, and when no edge occurred in the cycle, then the result of the subtraction of SE -VP is -0.2 volts. Or, in other words, when the edge occurs in 20% of the clock period, then the average value of the signal SE - VP will be zero, when the edge occurs in more than 20% of the clock period, then the average value will be positive, when When edges occur in less than 20% of the clock period, then the average is negative.
积分器N接收信号SE-VP,并产生控制信号SC,当在高于时钟周期的20%中,在输出信号So中出现边沿时,控制信号SC的值上升,当在低于时钟周期的20%中出现边沿,那么控制信号SC的值下降。在乘法器M中,控制信号SC乘以来自希格码-德尔塔调制器的1位信号SO,在第二加法点P2中,乘法器的输出信号SO×SC与滤波器F的输出相加。The integrator N receives the signal S E -V P and generates a control signal S C whose value rises when an edge appears in the output signal So for more than 20% of the clock period, and when it is lower than If an edge occurs in 20% of the clock cycle, the value of control signal S C falls. In the multiplier M, the control signal S C is multiplied by the 1-bit signal S O from the Sigma-Delta modulator, and in the second addition point P 2 , the output signal of the multiplier S O × S C is combined with the filter The outputs of F are summed.
参照附图2,解释量化器Q、乘法器M和加法点P2的组合运行。该图在垂直轴上,表示量化器的输出值SO(+1或-1),在水平轴上,表示低通滤波器F的输出信号SF的值。下面给出的值仅用作示例,且与输出脉冲的值相关。Referring to Fig. 2, the combined operation of quantizer Q, multiplier M and adding point P2 is explained. The figure shows the output value S O (+1 or -1) of the quantizer on the vertical axis, and the value of the output signal S F of the low-pass filter F on the horizontal axis. The values given below are only examples and relate to the value of the output pulse.
如果控制信号SC是零,那么乘法器M的输出也是零,量化器输出SO将在滤波器输出信号SF较小变化的控制下,在图2的点A和C之间切换。这在图2中,通过加粗线描述。If the control signal S C is zero, then the output of the multiplier M is also zero and the quantizer output S O will switch between points A and C of Fig. 2 under the control of a small change in the filter output signal S F. This is depicted in Figure 2 by bold lines.
但是,现在假设边沿密度控制器G传送值为0.3的控制信号SC。However, now assume that the edge density controller G delivers a control signal S C with a value of 0.3.
a.当量化器输出信号SO=-1(并且滤波器输出信号SF基本为零)时,乘法器M向量化器传送信号SO×SC=-0.3,量化器状态保持不变(在图2的点A)。即使滤波器输出信号SF改变较小的数值,乘法器的输出-0.3将使P2的输出保持为负,以至于量化器的状态保持不变。a. When the quantizer output signal S O =-1 (and the filter output signal S F is substantially zero), the multiplier M transmits the signal S O × S C =-0.3 to the quantizer, and the quantizer state remains unchanged ( At point A) in Figure 2. Even if the filter output signal S F changes by a small value, the output of the multiplier -0.3 will keep the output of P2 negative, so that the state of the quantizer remains unchanged.
b.仅当滤波器信号SF增加至SF=+0.3时,加法点P2的输出增加至0,量化器的输出切换至+1。乘法器输出变为SO×SC=0.3,P2的输出进一步增加至SF+SO×SC=0.3+0.3=0.6(点B)。b. Only when the filter signal S F increases to S F =+0.3, the output of the addition point P 2 increases to 0 and the output of the quantizer switches to +1. The multiplier output becomes S O × S C = 0.3, and the output of P 2 is further increased to S F + S O × S C = 0.3 + 0.3 = 0.6 (point B).
c.当滤波器信号SF降低至例如零(图2的点C),或甚至当滤波器信号降低至-0.25时,该量化器状态还是保持。c. The quantizer state is maintained when the filter signal S F drops eg to zero (point C of Fig. 2), or even when the filter signal drops to -0.25.
d.仅当滤波器信号SF下降至-0.3时,加法点P2的输出下降至0,量化器Q切换至SO=-1,乘法器输出变为SO×SC=-0.3,P2的输出进一步下降至-0.6(点D)。d. Only when the filter signal S F drops to -0.3, the output of the addition point P2 drops to 0, the quantizer Q switches to S O = -1, and the output of the multiplier becomes S O × S C = -0.3, The output of P 2 drops further to -0.6 (point D).
从上可以明显得出,量化器的切换行为具有滞后现象,并由于控制信号SC的正值而显著减少。只有当滤波器信号SF的值高于值0.3或低于-0.3时,量化器才切换,并且量化器的输出中出现边沿。控制信号SC的值越大,用于量化器切换的滤波器信号SF的值应该越大。From the above it is evident that the switching behavior of the quantizer has hysteresis and is significantly reduced due to positive values of the control signal S C . Only when the value of the filter signal S F is above the value 0.3 or below -0.3, the quantizer switches and an edge appears in the output of the quantizer. The larger the value of the control signal S C , the larger the value of the filter signal S F for quantizer switching should be.
另一方面,可以很容易的看出,当控制信号SC为负时,甚至当滤波器信号SF为零时,量化器Q很容易地在一半时钟频率处切换。在这种情况下,量化器Q、乘法器M和加法点P2一起组成振荡器,该振荡器在每个时钟脉冲处,产生边沿。但是,该大量的边沿将很快导致控制信号SC正值的形成,以至于通过上述的机制,边沿的数量将大大减少。On the other hand, it can be easily seen that the quantizer Q switches easily at half the clock frequency when the control signal S C is negative, even when the filter signal S F is zero. In this case, the quantizer Q, multiplier M, and summing point P2 together form an oscillator that generates an edge at each clock pulse. However, this large number of edges will quickly lead to the formation of positive values of the control signal SC , so that by the above-mentioned mechanism, the number of edges will be greatly reduced.
具有边沿密度控制器G和乘法器M的控制电路将数字输出信号SO中的边沿数量限制到某一平均值。在图1的配置中,该平均值可以很容易的找到,这是由于积分器N的输入信号的平均值必须为零(否则积分器的输出信号SC将稳定上升或下降)。例如当在具有边沿的情况下信号SE的值为1,在没有边沿的情况下该值为0时,并且当参考电压VP的值为0.2时,那么,由于积分器N的信号SE-VP应当必须具有零DC分量,所以信号SE将在20%的时钟周期中具有SE=1,在80%的时钟周期中具有SE=0。所以,控制电路已经减少了边沿的数量,以至于边沿只出现在20%的时钟周期中。对于更多的边沿,参考电压VP必须增加,对于更少的边沿,该电压将选择的更低。A control circuit with an edge density controller G and a multiplier M limits the number of edges in the digital output signal S0 to a certain average value. In the configuration of Fig. 1, this average value can be easily found, since the average value of the input signal to the integrator N must be zero (otherwise the output signal SC of the integrator will rise or fall steadily). For example when the value of the signal S E is 1 with an edge and 0 without an edge, and when the value of the reference voltage V P is 0.2, then, since the signal S E of the integrator N -VP should necessarily have a zero DC component, so the signal SE will have SE = 1 in 20% of the clock cycles and SE = 0 in 80% of the clock cycles. So, the control circuit has reduced the number of edges so that the edges only occur in 20% of the clock cycles. For more edges the reference voltage VP has to be increased, for fewer edges the voltage will be chosen lower.
下面描述控制电路对于转换器的最大输入信号电平的影响。The effect of the control circuit on the maximum input signal level of the converter is described below.
假设参考电压VP的设定使得转换器的输出信号在时钟周期的20%中具有边沿。那么该信号可以包括10个时钟周期的下述循环:Assume that the reference voltage VP is set such that the output signal of the converter has edges in 20% of the clock period. The signal can then consist of the following loop of 10 clock cycles:
a.当转换器的输入信号是正极值:+1,+1,+1,-1,+1,+1,+1,+1,+1,+1。该循环在10个时钟周期中具有两个边沿,以至于具有边沿的时钟周期的数量是20%。输出信号的值是9×(+1)+1×(-1)=8,即最大值的8/10=80%,以至于最大输入信号电平已经下降至满标值的80%。a. When the input signal of the converter is positive extreme value: +1, +1, +1, -1, +1, +1, +1, +1, +1, +1. The loop has two edges in 10 clock cycles, so that the number of clock cycles with edges is 20%. The value of the output signal is 9*(+1)+1*(-1)=8, ie 8/10=80% of the maximum value, so that the maximum input signal level has dropped to 80% of the full scale value.
b.当转换器的输入信号是零:-1,-1,+1,+1,+1,+1,+1,-1,-1,-1。该循环在10个时钟周期中,又具有2个边沿,以至于具有边沿的时钟周期数还是20%。输出是5×(+1)+5×(-1)=0。b. When the input signal of the converter is zero: -1, -1, +1, +1, +1, +1, +1, -1, -1, -1. The loop again has 2 edges out of 10 clock cycles, so that the number of clock cycles with edges is still 20%. The output is 5*(+1)+5*(-1)=0.
c.当输入信号是负极值:-1,-1,+1,-1,-1,-1,-1,-1,-1,-1。该循环在10个时钟周期中,又具有两个边沿,以至于具有边沿的时钟周期数是20%。输出信号的值是9×(-1)+1×(+1)=-8,这又是负最大值的80%,使得最大输入电平已经下降至满标值的80%。c. When the input signal is negative extreme value: -1, -1, +1, -1, -1, -1, -1, -1, -1, -1. The loop again has two edges in 10 clock cycles, so that 20% of the clock cycles have edges. The value of the output signal is 9*(-1)+1*(+1)=-8, which is again 80% of the negative maximum value, so that the maximum input level has dropped to 80% of the full scale value.
作为比较,假设转换器的设定使得在时钟周期的50%中出现边沿,那么可以产生下述循环:For comparison, assuming that the converter is set up so that the edge occurs 50% of the clock cycle, the following cycle can be produced:
a.当转换器的输入信号是正极值:+1,-1,+1,+1。该循环在4个时钟周期中具有两个边沿,以至于具有边沿的时钟周期的数量是50%。输出信号的值是3×1+1×(-1)=2,即最大值的2/4=50%,使得最大输入信号电平已经下降至满标值的50%。a. When the input signal of the converter is positive extreme value: +1, -1, +1, +1. This loop has two edges in 4 clock cycles, so that the number of clock cycles with edges is 50%. The value of the output signal is 3*1+1*(-1)=2, ie 2/4 of the maximum value=50%, so that the maximum input signal level has dropped to 50% of the full scale value.
b.当转换器的输入信号是零:-1,+1,+1,-1。该循环在4个时钟周期中又具有2个边沿,以至于具有边沿的时钟周期数量是50%。输出是2×(+1)+2×(-1)=0。b. When the input signal of the converter is zero: -1, +1, +1, -1. The loop again has 2 edges in 4 clock cycles, so that the number of clock cycles with edges is 50%. The output is 2*(+1)+2*(-1)=0.
c.当输入信号是负极值:-1,-1,+1,-1。该循环在4个时钟周期中又具有两个边沿,以至于具有边沿的时钟周期的数量是50%。输出信号的值是3×(-1)+1×(+1)=-2,这又是负最大值的50%,使得最大输入信号电平已经下降至满标值的50%。c. When the input signal is negative extreme value: -1, -1, +1, -1. This loop has two more edges in 4 clock cycles, so that the number of clock cycles with edges is 50%. The value of the output signal is 3*(-1)+1*(+1)=-2, which is again 50% of the negative maximum, so that the maximum input signal level has dropped to 50% of the full scale value.
这些示例清楚的表明,边沿的减少导致了输出信号中包含的最大信号电平上升。该减少也将使信号数模转换期间产生的符号间干扰进一步减少。These examples clearly show that the reduction of the edges results in an increase in the maximum signal level contained in the output signal. This reduction will also further reduce the inter-symbol interference generated during the digital-to-analog conversion of the signal.
减少边沿的数字输出信号流SO可以应用于任何适合的数字信号处理器,诸如存储介质,在图1中由光盘J表示。从该存储介质中读出的数字信号施加于数模转换器K。通过数字信号中更均匀的边沿分布,使得DA转换器K中产生的任何符号间的干扰充分移出所感兴趣的频带,也通过该信号中边沿平均数量的减少,使得DA转换器K中产生的任何符号间的干扰充分减少。The edge-reduced digital output signal stream SO may be applied to any suitable digital signal processor, such as a storage medium, represented by disc J in FIG. 1 . The digital signal read from the storage medium is applied to a digital-to-analog converter K. Any intersymbol interference generated in the DA converter K is sufficiently shifted out of the frequency band of interest by a more uniform distribution of edges in the digital signal, and by a reduction in the average number of edges in the signal that any intersymbol interference generated in the DA converter K Intersymbol interference is substantially reduced.
可以注意到,在不脱离本发明保护范围的情况下,可以对边沿密度控制器G的结构作多种修改。例如,当边沿抽取器E传送的脉冲低于零且没有边沿出现时,可以偶尔省去参考电压源VP。并且,环路滤波器N不必须是积分器。二阶低通滤波器被尝试过,并发现,它比一阶低通滤波器具有更好的ISI抑制性能。在一阶或二阶低通滤波器的情况下,可以取代从低通滤波器的输入信号,而是从它的输出信号中减去参考信号VP。参考信号VP不必仅是DC值。在该参考信号中增加时间依赖型分量,可以使由元件Q、M、P2和G组成的振荡器的频谱输出分量加宽或变窄。It can be noted that various modifications can be made to the structure of the edge density controller G without departing from the scope of the present invention. For example, the reference voltage source Vp may occasionally be omitted when the pulses delivered by the edge extractor E are below zero and no edges are present. Also, the loop filter N does not have to be an integrator. A second-order low-pass filter was tried and found to have better ISI suppression performance than a first-order low-pass filter. In the case of a first-order or second-order low-pass filter, instead of the input signal from the low-pass filter, the reference signal Vp can be subtracted from its output signal. The reference signal V P does not have to be only a DC value. Adding time-dependent components to this reference signal broadens or narrows the spectral output components of the oscillator composed of elements Q, M, P2 and G.
在图1中,本发明已经列举了模拟希格码-德尔塔调制器和模拟控制电路。本发明也适用于数字希格码-德尔塔调制器和/或数字控制电路。在那种情况下,诸如加法、乘法、低通滤波和边沿抽取的运算可以利用恰当的数字码完成。In FIG. 1, the present invention has illustrated an analog Sigma-delta modulator and an analog control circuit. The invention is also applicable to digital Sigma-delta modulators and/or digital control circuits. In that case, operations such as addition, multiplication, low-pass filtering and edge decimation can be performed using appropriate digital codes.
在图3的多位希格码-德尔塔转换器中,与图1中对应的元件采用相同的参考标记。图3的转换器意在直接驱动多个1位DA转换器。该DA转换器(未示出)由多位转换器的输出端O1、O2、O3上的1位输出信号切换。转换器的输入SI是2位数字信号,该数字信号具有4个可能值0,1,2,3。这些值可以由三个1位DA转换器,以模拟形式恢复。由于这些DA转换器的参考(电流源)通常彼此间不是精确地相等,所以在数模转换期间,会出现非线性失真。这些误差可以通过公知的方法“动态单元匹配”减少。通过该方法,每个模拟参考交替切换运行,用于产生每个模拟值。In the multi-bit Sigma-delta converter of FIG. 3, elements corresponding to those in FIG. 1 bear the same reference numerals. The converter of Figure 3 is intended to directly drive multiple 1-bit DA converters. The DA converter (not shown) is switched by the 1-bit output signal on the outputs O1 , O2 , O3 of the multi-bit converter. The input S I of the converter is a 2-bit digital signal with 4
为此,图3的多位转换器有效地包括三个1位希格码-德尔塔转换器,每个1位希格码-德尔塔转换器具有:自己的低通滤波器F,以及在反馈配置中具有自己的量化器,其中反馈配置具有自己的低通滤波器。三个量化器组合为矢量量化器VQ。矢量量化器包括控制器,该控制器由输入信号SI驱动,并且根据需要的DEM算法,依次控制每个量化器。To this end, the multi-bit converter of Figure 3 effectively consists of three 1-bit Sigma-Delta converters, each with: its own low-pass filter F, and in It has its own quantizer in the feedback configuration, which has its own low-pass filter. The three quantizers are combined into a vector quantizer VQ. The vector quantizers include a controller that is driven by the input signal SI and controls each quantizer in turn according to the required DEM algorithm.
根据本发明,矢量量化器的每个1位输入包括加法点P2、边沿抽取器E、用于参考值VP的加法点P3、积分器N和乘法器M,它们之间如图1所示连接。在这种方式下,提供多位转换器,不仅执行“动态元件匹配”,以解决DA转换器的不相等的参考,而且减少了由这些DA转换器中固有的记忆效应引起的符号间的干扰。According to the present invention, each 1-bit input of the vector quantizer includes an addition point P 2 , an edge decimator E, an addition point P 3 for a reference value V P , an integrator N and a multiplier M, as shown in Fig. 1 connection shown. In this way, multi-bit converters are provided that not only perform "dynamic element matching" to account for unequal references to DA converters, but also reduce inter-symbol interference caused by memory effects inherent in these DA converters .
图3的多位转换器仅通过简单的示例给出,其中该示例具有2位输入信号和3位输出。通常,具有更大数量的互连的1位希格码-德尔塔转换器,则输入和输出信号的相应位数更大。The multi-bit converter of Figure 3 is given only by way of a simple example, where the example has a 2-bit input signal and a 3-bit output. In general, a 1-bit Sigma-delta converter with a greater number of interconnections has a greater corresponding number of bits for the input and output signals.
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| EP04101293.1 | 2004-03-29 | ||
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| PCT/IB2005/050990 WO2005093959A1 (en) | 2004-03-29 | 2005-03-23 | Method of reducing inter-symbol interference, a sigma-delta converter for performing this method and a storage medium conveying information generated by this method |
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| US8879461B2 (en) * | 2008-12-01 | 2014-11-04 | Qualcomm Incorporated | Blank subframe uplink design |
| US10418044B2 (en) * | 2017-01-30 | 2019-09-17 | Cirrus Logic, Inc. | Converting a single-bit audio stream to a single-bit audio stream with a constant edge rate |
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| US5357196A (en) * | 1991-08-06 | 1994-10-18 | Jeco Company Limited | Circuit for converting a frequency of an input signal so a signal having a digital value corresponding to the frequency |
| US5530442A (en) * | 1994-05-09 | 1996-06-25 | At&T Corp. | Circuit and method for testing a dithered analog-to-digital converter |
| US5745061A (en) * | 1995-07-28 | 1998-04-28 | Lucent Technologies Inc. | Method of improving the stability of a sigma-delta modulator employing dither |
| JP3356201B2 (en) * | 1996-04-12 | 2002-12-16 | ソニー株式会社 | Video camera and contour enhancement device |
| DE19722434C1 (en) * | 1997-05-28 | 1998-10-01 | Siemens Ag | Highly linear digital/analog conversion device |
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| US6087969A (en) * | 1998-04-27 | 2000-07-11 | Motorola, Inc. | Sigma-delta modulator and method for digitizing a signal |
| AUPP392498A0 (en) * | 1998-06-04 | 1998-07-02 | Innes Corporation Pty Ltd | Traffic verification system |
| US6356129B1 (en) * | 1999-10-12 | 2002-03-12 | Teradyne, Inc. | Low jitter phase-locked loop with duty-cycle control |
| US6351229B1 (en) * | 2000-09-05 | 2002-02-26 | Texas Instruments Incorporated | Density-modulated dynamic dithering circuits and method for delta-sigma converter |
| US6952174B2 (en) * | 2001-09-07 | 2005-10-04 | Microsemi Corporation | Serial data interface |
| DE60308844T2 (en) * | 2003-06-17 | 2007-03-01 | Agilent Technologies, Inc., Palo Alto | Sigma-delta modulator with pulse width modulation output |
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